On the foundations of the stochastic immersed boundary method
type: Item
instance of: scholarly article
title: On the foundations of the stochastic immersed boundary method
zbMATH Open document ID: 1158.76420
author: Peter R. Kramer
author: Charles S. Peskin
author: Paul J. Atzberger
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2009-04-08T00:00:00Z
Mathematics Subject Classification ID: 76M35
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 60H30
Mathematics Subject Classification ID: 60H35
Mathematics Subject Classification ID: 76Z05
Mathematics Subject Classification ID: 82C31
zbMATH DE Number: 5541950
zbMATH Keywords: Langevin
zbMATH Keywords: thermal fluctuations
zbMATH Keywords: fluctuation-dissipation theorem
zbMATH Keywords: non-equilibrium
MaRDI profile type: Publication
full work available at URL: j.cma.2007.11.010
OpenAlex ID: W1983217533
cites work: The immersed boundary method
cites work: Stochastic Mode Reduction for the Immersed Boundary Method
cites work: A stochastic immersed boundary method for fluid-structure dynamics at microscopic length scales
cites work: A note on the correspondence of an immersed boundary method incorporating thermal fluctuations with Stokesian-Brownian dynamics
cites work: Accelerated Stokesian dynamics simulations.
cites work: Molecular modeling and simulation. An interdisciplinary guide
cites work: Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation
cites work: Lattice-Boltzmann simulations of particle-fluid suspensions.
cites work: Direct numerical simulation of the Brownian motion of particles by using fluctuating hydrodynamic equations
cites work: Diffusion Equation versus Coupled Langevin Equations Approach to Hydrodynamics of Dilute Polymer Solutions
cites work: Error analysis of a stochastic immersed boundary method incorporating thermal fluctuations
cites work: Statistical physics II. Nonequilibrium statistical mechanics. Rev. transl. of the rev. orig. Jap. ed.
cites work: Q5547508
cites work: Contributions to Non-Equilibrium Thermodynamics. I. Theory of Hydrodynamical Fluctuations
cites work: Q4891077
cites work: Q5552132
cites work: Q5295126
cites work: Q4392284
cites work: A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow.
cites work: A new formulation of the distributed Lagrange multiplier/fictitious domain method for particulate flows
cites work: Parallel Computational Strategies for Hydrodynamic Interactions Between Rigid Particles of Arbitrary Shape in a Viscous Fluid
cites work: Stokes problems of multiparticle systems: A numerical method for arbitrary flows
cites work: Velocity correlations of a thermally fluctuating Brownian particle: a novel model of the hydrodynamic coupling
cites work: Correlation theory of stationary and related random functions. Volume I: Basic results
cites work: Stochastic differential equations. An introduction with applications.
cites work: Q4162803
cites work: Q5523565
cites work: Q5532416
cites work: Long-Time Energy Conservation of Numerical Methods for Oscillatory Differential Equations
cites work: Long-Time-Step Methods for Oscillatory Differential Equations
cites work: Fourth-Order Time-Stepping for Stiff PDEs
cites work: A mathematical framework for stochastic climate models
cites work: A priori tests of a stochastic mode reduction strategy
cites work: Stochastic models for selected slow variables in large deterministic systems
cites work: Microscopic derivation of non-Markovian thermalization of a Brownian particle
cites work: Fluctuating hydrodynamics and Brownian motion
cites work: An Immersed Interface Method for Incompressible Navier--Stokes Equations
cites work: Immersed finite element method
cites work: Immersed finite element method and its applications to biological systems
DOI: 10.1016/J.CMA.2007.11.010
description: scientific article; zbMATH DE number 5541950